Cube Dissection Puzzle

Here is a dissection of a 6x6x6 cube into eight pieces. It is meant to show visually that 3^3 + 4^3 + 5^3 = 6^3. The eight pieces make the 6x6x6 cube, and the pieces contain a 3x3x3 cube and can be used to make 4x4x4 and 5x5x5 cubes. It came from a Figure in a book by Harry Lindgren with a reference to R. F. Wheeler dated 1951. OpenSCAD code is included.